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Finding the Third Proportional to 149,150,910 and 351,590,169

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Solution

The third proportional to 149,150,910 and 351,590,169 is: 828,795,794.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,150,910 : 351,590,169 = 351,590,169 : x
  2. Step 2: Convert to fraction form
    149,150,910/351,590,169 = 351,590,169/x
  3. Step 3: Cross multiply
    149,150,910x = 351,590,169 × 351,590,169
  4. Step 4: Simplify right side
    149,150,910x = 123,615,646,937,448,560
  5. Step 5: Solve for x
    x = 123,615,646,937,448,560/149,150,910
  6. Step 6: Final answer
    x = 828,795,794.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.